Algebraization of iterated integration along paths
Kuo-Tsai Chen · Bulletin of the American Mathematical Society · 1967
PROOF. Let G= ^L,{G n E.j}where G n is solvable of radical class n.Then G £(B and has radical class co.Let H = JJ {H k \ k £ J, H k c^G}.iJ has a subgroup satisfying the hypothesis of Theorem 3. Hence #££<£.Consequently, Jff(£(B.Classes of groups satisfying the conditions of Theorems 4 and 5 include the classes SN*, SI*, subsolvable and polycyclic.